A new model of an equilibrium problem for a Kirchhoff-Love plate with a flat cylindrical rigid inclusion and an interfacial crack is considered. As in previous works, we consider a rigid inclusion defined with the help of a cylindrical surface, but unlike the known models relating to the crack theory, we suppose that traces of derivatives of vertical displacements (deflections) satisfy certain boundary conditions. These conditions determine constant angles of normal fibers along an entire flat cylindrical inclusion. The interfacial crack is located on the boundary of the rigid inclusion. A condition of mutual non-penetration of opposite crack faces is given as an inequality on the crack curve. We prove the existence and uniqueness of a solution for this variational problem.

考虑了具有扁平圆柱形刚性夹杂物和界面裂纹的 Kirchhoff-Love 板的平衡问题的新模型。与以前的工作一样，我们考虑在圆柱表面的帮助下定义的刚性夹杂物，但与已知的与裂纹理论相关的模型不同，我们假设垂直位移（挠度）的导数轨迹满足某些边界条件。这些条件决定了正常纤维沿整个扁平圆柱形夹杂物的恒定角度。界面裂纹位于刚性夹杂物的边界上。以裂纹曲线上的不等式给出了相对裂纹面互不穿透的条件。我们证明了这个变分问题的解的存在性和唯一性。